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What is the correct answer?

4

Moment of inertia of a circular section about an axis perpendicular to the section is

A. πd3/16

B. πd3/32

C. πd4/32

D. πd4/64

Correct Answer :

C. πd4/32


Related Questions

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4

If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.

A. Change

B. Does not change

C. Changes periodically

D. None of these

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4

Forces are called concurrent when their lines of action meet in

A. One point

B. Two points

C. Plane

D. Perpendicular planes

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4

The force induced in the string BC due to the load W as shown in the below figure is

A. W sinθ

B. W cosθ

C. W tanθ

D. W cotθ

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4

The centre of percussion is below the centre of gravity of the body and is at a distance equal to

A. h/kG

B. h2/kG

C. kG2/h

D. h × kG

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4

The maximum mechanical advantage of a lifting machine is

A. 1 + m

B. 1 - m

C. 1 / m

D. m

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4

The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

A. [√(4p² - q²)]/6

B. (4p² - q²)/6

C. (p² - q²)/4

D. (p² + q²)/4

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4

The slope on the road surface generally provided on the curves is known as

A. Angle of friction

B. Angle of repose

C. Angle of banking

D. None of these

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4

If the number of pulleys in a system is equal to its velocity ratio, then it is a __________ system of pulleys

A. First

B. Second

C. Third

D. None of these

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4

A force is completely defined when we specify

A. Magnitude

B. Direction

C. Point of application

D. All of the above

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4

Which of the following is not a vector quantity?

A. Weight

B. Velocity

C. Acceleration

D. Force

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4

Which of the following statement is incorrect?

A. A force acting in the opposite direction to the motion of the body is called force of friction

B. The ratio of the limiting friction to the normal reaction is called coefficient of friction

C. A machine whose efficiency is 100% is known as an ideal machine

D. The velocity ratio of a machine is the ratio of load lifted to the effort applied

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4

Concurrent forces are those forces whose lines of action

A. Lie on the same line

B. Meet at one point

C. Meet on the same plane

D. None of these

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4

The unit of force in S.I. units is

A. kilogram

B. Newton

C. Watt

D. Dyne

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4

The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is

A. mr2/3

B. 2mr2/3

C. 2mr2/5

D. 3mr2/5

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4

The minimum force required to slide a body of weight W on a rough horizontal plane is

A. W sinθ

B. W cosθ

C. W tanθ

D. None of these

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4

If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be

A. Same

B. Half

C. Double

D. None of these

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4

The velocity ratio of a simple wheel and axle with D and d as the diameters of effort wheel and load axle, is

A. D + d

B. D - d

C. D × d

D. D / d

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4

According to Lamis theorem

A. The three forces must be equal

B. The three forces must be at 120° to each other

C. The three forces must be in equilibrium

D. If the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two

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4

The centre of gravity of a triangle lies at the point of

A. Concurrence of the medians

B. Intersection of its altitudes

C. Intersection of bisector of angles

D. Intersection of diagonals

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4

When two elastic bodies collide with each other,

A. The two bodies will momentarily come to rest after collision

B. The two bodies tend to compress and deform at the surface of contact

C. The two bodies begin to regain their original shape

D. All of the above

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4

The maximum velocity of a particle moving with simple harmonic motion is

A. ω

B. ωr

C. ω2r

D. ω/r

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4

Which is the correct statement about law of polygon of forces?

A. If any number of forces acting at a point can be represented by the sides of a polygon taken in order, then the forces are in equilibrium

B. If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon, then the forces are in equilibrium

C. If a polygon representing forces acting at a point is closed then forces are in equilibrium

D. If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, then the forces are in equilibrium

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4

When a person, on a bicycle, drives round a curve, he has to lean __________ to maintain equilibrium.

A. Inward

B. Outward

C. Towards front

D. Towards back

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4

The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as

A. Static friction

B. Dynamic friction

C. Limiting friction

D. Coefficient of friction

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4

The resultant of two equal forces P making an angle θ, is given by

A. 2P sinθ/2

B. 2P cosθ/2

C. 2P tanθ/2

D. 2P cotθ/2

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4

The forces, whose lines of action are parallel to each other and act in the same directions, are known as

A. Coplanar concurrent forces

B. Coplanar non-concurrent forces

C. Like parallel forces

D. Unlike parallel forces

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4

The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body, m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

A. [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²

B. [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²

C. [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)

D. [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

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4

The unit of energy in S.I. units is

A. Dyne

B. Watt

C. kg-m

D. Joule

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4

Center of percussion is

A. The point of C.G.

B. The point of metacenter

C. The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis

D. Point of suspension

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4

A differential pulley block has larger and smaller diameters of 100 mm and 80 mm respectively. Its velocity ratio is

A. 5

B. 10

C. 20

D. 40